When I equip pounce to a clix, does that mean I no longer have Leap/Climb?

No, you still have Leap/Climb. And you may use it just fine while moving around the board. You just can't use L/C while using Pounce.

You still have it and are able to use it when you want, provided you are not using it when you are actively using the Pounce feat.

which worked great for me a cuople of games ago.
Sidewinder "tied up" PS Hulk. Hulk was able to get away w/o needing a breakaway roll but could not Pounce after he did so.