A trick I've seen being performed by the oldtimers was to dial in another cruise altitude (f.e. the level you'd fly on the return) in the cabin altitude window, in order to get the cabin descending right away after leaving cruising level.
Don't know if it can have a negative effect once, but it seemed to work.
In other cases you'd typically catch up the cabin on short final after performing an unrestricted, high speed, idle descent.