Pat rolled over lazily without enthusiasm (7)
I believe the answer is:
tepidly
'without enthusiasm' is the definition.
(I've seen this in another clue)
'pat rolled over lazily' is the wordplay.
'pat' becomes 'pet' (I am not sure about this - if you are sure you should believe this answer much more).
'rolled over' shows that the letters should be reversed in order.
'lazily' becomes 'idly' (synonyms).
'pet' backwards is 'tep'.
'tep'+'idly'='TEPIDLY'
Can you help me to learn more?
(Other definitions for tepidly that I've seen before include "Without enthusiasm" , "without passion" , "In a lukewarm manner" .)