I would imagine hide glue, but I think leather or rubber bumpers would be a better choice. Gollihur sells self stick leather and they have been working fine for me.
I made mine from a fan belt à la Paul Warburton (search the threads) and attached them with contact cement (Barge, specifically). They're not going anywhere.
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"I've got no desire to carry a Stradivarius, but there's no limit of primitive tom-tom in my tum-tum. Mama I wanna make rhythm..."
I made mine from an old leather sewing machine drive belt, and glued it on with Barge contact cement also. If I did it again, I'd use the Home Depot DAP contact cement, as it stinks less than Barge and works equally well.