Former prince with more cats and dogs? (7)
I believe the answer is:
rainier
I believe this is a double definition.
'former prince' is the first definition.
(I've seen this before)
'more cats and dogs?' is the second definition.
(I've seen this before)
'with' is the link.
(Other definitions for rainier that I've seen before include "Prince of Monaco, married to Grace Kelly, d. 2005" , "weather getting worse" , "more drops?" , "Former prince of Monaco" , "Volcano in Washington" .)