Unemotional doctor looked on after final bit of surgery (3-4)
I believe the answer is:
dry-eyed
'unemotional' is the definition.
(ie not shedding a tear)
'doctor looked on after final bit of surgery' is the wordplay.
'doctor' becomes 'dr' (abbreviation).
'looked on' becomes 'eyed' (I've seen this in another clue).
'after' means one lot of letters go next to another.
'final bit of' indicates one should take the final letters.
The last letter of 'surgery' is 'y'.
'eyed' put after 'y' is 'yeyed'.
'dr'+'yeyed'='DRY-EYED'
(Other definitions for dry-eyed that I've seen before include "Unmoved" , "Without a tear" , "Not crying" , "Tearless" .)