Damm this thread got started again... I thought it was over.Oh, well, nothing to do about it.
There is no cooldown on getting your mount out from the inventory. Yes its in the inventory. Or rather a stone like thingy or something that you click and "poof" your mount appears... But this is kinda old info, so it might have changed.
But, lets say a hunter on his mount goes into pvp with a warrior. H (Hunter) gets off, shots, gets on and starts riding away. The warrior then have a couple of choices on what to do.
1. This must be done before. He can have shut of pvp, meaning he cant be attacked outright. Some areas though automaticly puts you into pvp mode, and you cant change that while in the area and not before five minutes after you leave it. The pvp switch in general has a 5 min cooldown.
2. If the W (Warrior) wasn't in pvp the H can chanlange him/her to a duel. I'm not sure mounts are allowed, and even if they are, you cant run away. A duel flag will be put down in the ground and if one combatant runs to far away from it, the duel ends. You are also not killed in a duel. You stop at 1 hp with no losses exept the wiining can charge you 100 gold. I think it was 100 gold, not sure.
3a. Get on his/her own mount and run after, not allowing the H to dismount.
3b. Get on his/her mount and run far, far away.
Also note that the dismount, shoot, mount and run strategy has been stated both on forums and on sites a really lame strategy and I also think it has been stated that blizz will do something to make it impossible to use that tactic.