The only limits I can recall are the MINIMUM 500fpm rate of climb AND descent. If unable to comply, atc must be informed.
Can't recall hearing of a MAXIMUM rate of climb or descent.
Although there are a few airlines that have a SOP ROD of 2000fpm. Can be exceeded for a valid reason if announced.
Other SOPs recommend maintaining a MAX ROD/C in terminal areas of 1000fpm. This helps reduce TCAS alerts triggered by high vertical speeds.
Hope it helps.