Answer:

lapcat

Answer	Crossword Clue
LAPCAT	Pettable purrer
LAPCAT	One getting strokes, in a good way
LAPCAT	Purring snuggler

LAPCAT	Snuggling pet
LAPCAT	Snuggling purrer
LAPCAT	Pet that's likely to purr
LAPCAT	Very tame tom
LAPCAT	Pet that likes to be petted
LAPCAT	Accompanier of Bond villain Blofeld
LAPCAT	Pet that should come with a lint roller?
LAPCAT	Pet that needs a sitter?