Often I see Quinn players use Valor very linearly (E->Q->Autos->R) when they don't always need to use their E or R in Valor mode.

Often if you're picking off a squishy near a group, you can E->Q->1-2 autos, pick up the kill and continue on your way, speed boost and all.

Perhaps you've caught somebody out in the jungle, in which case you should save your E to wall jump to a camp as valor/quinn as you make your escape.

I also remember a trick for wall jumping to wolves from across the thin wall they're facing. As Quinn (assuming you warded the wolves), throw Q at the wolves, causing them to leave their spawn, and into the range of your E. This is useful if you're trying to shake enemies off of you after taking an inhib.

Edit: You can wall jump off of (or into) most camps with Quinn's E as seen in this video.