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Twin Bite - Shyvana strikes twice on her next attack.

Dragon Form: Twin Bite cleaves all units in front Shyvana.
Shyvana strikes twice on her next attack, dealing (+0.8/0.85/0.9/0.95/1.0) physical  
damage on the second attack. 
The bonus damage is equal to 80/85/90/95/100% of Shyvana's Attack Damage.`

Dragon Form: Twin Bite cleaves all units in front Shyvana.
Cost
No Cost
Range
0

does this mean, Wit's End or other on-hit items will proc twice?

To Mind jumps:
Black Cleaver
Wit's End
Executioners Calling
BotRK

and the list goes on...

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Most of them, including your own list, will proc twice. And when in dragon form, they will even proc twice on each target hit by Twin Bite.

Notable exceptions are on-hit effects with an internal cooldown, such as Spellblade (e.g. Sheen, Lich Bane).

See: http://leagueoflegends.wikia.com/wiki/Shyvana/Ability_Details

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