Quick is a keyword which means the effect is Spell Speed 2.
For Ignition effects, this means by default the effect can activate during any phase of any turn, and can be chained to other effects.
For trigger effects, this means if the trigger condition is met, the effect can chain to it as the next chain link, instead of activating after the chain has resolved.
Example
Edit
D.D. Crow - http://yugioh.wikia.com/wiki/D.D._Crow
Condition Ignition Quick
CHECK Me.Area IS Area:Hand
- Cost
- MOVE Me FROM Area:Hand
- TARGET Range:1 FROM Area:Grave, Side:Opponent STORE TargetedCardVar
- Action
- MOVE TargetedCardVar FROM Area:Grave, Side:Opponent TO Area:RFG CAUSE Method:Banish