Clue: Raise little dog just for one's holiday home? (8)
Answer: BALMORAL
Explanation: Definition: one's holiday home
Reverse of LAB[rador] MORAL (just); "one's" shows that it's the Queen's holiday home, though I think she stopped referring to herself as "one" some time ago, at least in public. I've always suspected this was because she was lampooned for it, as with her other catchphrase "my husband and I", which she also doesn't use any more