(Note: this is a collection of the meanings attributed to the cards by some occultists in the past centuries. It does not reflect my own study or opinion of the cards. It is only meant as a quick comparative reference as I develop my own take.)

Paul Foster Case (and Ann Davies)

As the first decanate of Sagittarius, the Eight of Wands is the time period of November 22 to December 1, ruled by Jupiter, suggesting a combination of the powers of Mercury and Jupiter together with the zodiacal attributions of the sign Sagittarius and its natural 9th house. Well-Dignified: aspiration; foresight; rapid expression of force, but quickly expended; the acceleration of anything in which the querent is interested; generosity; confidence ; freedom.
Ill-Dignified: violence; warfare; rapacity; insolence; theft or robbery. These are suggested by some of the evil meanings connected with Hermes or Mercury associated with misuse of human intellect.
Keyword: Swiftness
(From the Oracle of Tarot course)

A. E. Waite

The card represents motion through the immovable-a flight of wands through an open country; but they draw to the term of their course. That which they signify is at hand; it may be even on the threshold. Divinatory Meanings: Activity in undertakings, the path of such activity, swiftness, as that of an express messenger; great haste, great hope, speed towards an end which promises assured felicity; generally, that which is on the move; also the arrows of love. Reversed: Arrows of jealousy, internal dispute, stingings of conscience, quarrels; and domestic disputes for persons who are married.
(From The Pictorial Key to the Tarot)

Aleister Crowley

The Eight of Wands is called Swiftness, as one might expect from its attribution to Mercury and Sagittarius. This is an etherealization of the idea of fire; all gross elements have disappeared.

[…]

The remaining three cards of the suit belong to Sagittarius, which represents the subtilizing of the Fiery energy; and Mercury rules the card, thus bringing down from Chokmah the message of the original Will.

The card also refers to Hod, splendour, in the suit of Fire, whence it refers to the phenomena of speech, light, electricity. The pictorial representation of the card shows the Light-wands turned into electrical rays, sustaining or even constituting Matter by their vibrating energy. Above this restored universe shines the rainbow; the division of pure light, which deals with maxima, into the seven colours of the spectrum, which exhibit interplay and correlation.

This card, therefore, represents energy of high velocity, such as furnishes the master-key to modern mathematical physics. It will be noted that there are no flames; they have all been taken up into the wands to turn them into rays. On the other hand, the electric energy has created intelligible geometrical form.
(From The Book of Thoth)

Golden Dawn’s Book T

FOUR White Radiating Angelic Hands (two proceeding from each side) issuant from clouds; clasped in two pairs in the centre with the grip of the First Order.
They hold eight wands, crossed four with four. Flames issue from the point of junction. Surmounting the small wands with flames issuing down them, and placed in the centre at the top and bottom of the card respectively, are the symbols of Mercury and Sagittarius for the Decan.

Too much force applied too suddenly. Very rapid rush, but quickly passed and expended. Violent, but not lasting. Swiftness, rapidity, courage, boldness, confidence, freedom, warfare, violence; love of open air, field-sports, gardens and meadows. Generous, subtle, eloquent, yet somewhat untrustworthy; rapacious, insolent, oppressive. Theft and robbery. According to dignity.

Hod of HB:Y (Hasty communications and messages; swiftness).
Therein rule the Angels HB:NThHYH and HB:HAAYH.

Etteilla

Countryside
Upright. This card, as far as its medicine is concerned, means, in its natural position: Countryside, Field, Plain, Agriculture, Cultivation, Landed Property, Immovable Property, Farm, Homestead, Garden, Orchard, Prairie, Forest, Grove, Foliage, Pleasure, Amusement, Leisure, Pastime, Recreation, Enjoyment, Peace, Calm, Tranquility, Innocence, Country Life. – Forest, Valley, Mountain, Battlefield.
Reversed. Inner dispute, Examination, Reasoning, Incomprehension. – Regret, Remorse, Repentance, Inner turmoil, Irresolution, Uncertainty, Indecision, Inconceivable, Incomprehensible, Doubt, Scruple, Fearful consciousness.

MQS