Beat tender extremities a little bit (7)
I believe the answer is:
trounce
'beat' is the definition.
(I know that beat is a more specific form of better)
'tender extremities a little bit' is the wordplay.
'extremities' says to hollow out the word (remove centre letters).
'a little bit' becomes 'ounce' (I've seen this in another clue).
'tender' with its middle removed is 'tr'.
'tr'+'ounce'='TROUNCE'
(Other definitions for trounce that I've seen before include "Clobber" , "Beat hollow" , "Wipe the floor with" , "National flower of South Africa" , "Flog" .)