Habit of dipping injured toe in fat (7)
I believe the answer is:
leotard
'habit' is the definition.
(type of garment)
'injured toe in fat' is the wordplay.
'injured' indicates an anagram.
'in' means one lot of letters goes inside another.
'fat' becomes 'lard' (I've seen this before).
'toe' with letters rearranged gives 'eot'.
'eot' inserted within 'lard' is 'LEOTARD'.
'of dipping' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
(Other definitions for leotard that I've seen before include "Garment for gymnast" , "Garment used eg in ballet or yoga" , "Do alter for acrobat's garment" , "Body suit for dancers" , "One-piece garment worn by acrobat" .)