Fur is lavish on Queen (5)
I believe the answer is:
otter
'fur' is the definition.
(I know that otter is a type of fur)
'lavish on queen' is the wordplay.
'lavish on' becomes 'ott' (I can't justify this - if you can you should give a lot more credence to this answer).
'queen' becomes 'ER' (short for Elizabeth Regina ie Queen Elizabeth).
'ott'+'er'='OTTER'
'is' acts as a link.
Can you help me to learn more?
(Other definitions for otter that I've seen before include "Riverine mammal" , "Water creature" , "Playful aquatic animal of 'Tarka' fame" , "Water-loving animal" , "Fish-eater of the weasel family" .)