A trampoline........:rofl:
fun idea Atuhalpa. I' had thought about that back in the 60's when talk of 1/6th gravity was common, and I was a trampoline instructor at the time. But it would be a special tramp with fairly long rubber bands. It would have to be indoors to not have to wear a restrictive pressure suit. Also it would have to be in a high ceiling area, probably 6 times higher than usual and usual is to have at least 10' above your head as you stand on the tramp, so a 100' room height floor to ceiling should do, with placing the bed of the tramp at about 15' or 20' above the floor. And the bed should be also several times wider than usual, I would want it to measure at least 40' across. Air friction would tend to dampen the bed much moreso than the Earth version due to the volume defined by the bed between depressed and relaxed, so I would recommend a bed made of a net of thin 1 mm strands of kevlar (like a fishing net) with 1 or 2 cm holes for a first try on the design. This would allow the air to breath through the mesh.
The period of bounce would probably be about 7 to 12 seconds depending on the effort of the gymnast. Triple layouts would be a fairly simple trick. Complicated tricks would be 5 or 6 layouts with perhaps as many twists. It would probably be hard at first to bounce and NOT do a flip although it would come with practice. During the time of float, one would have to do catlike contractions between tucks and layouts, including arcing and twisting at the same time to land as intended either on feet or elsewhere. You might start out just initiating a rapid back flip rotation on leaving the bed and decide how many rotations you get during the float with alternating tucking and laying out. Too much fun!