Great player, tears when beaten mopped up by doctor (7)
I believe the answer is:
maestro
'great player' is the definition.
'maestro' can be an answer for 'player' (I have seen 'Top player' mean 'maestro' so perhaps 'player' could also mean 'maestro'). I'm not certain of the 'great' bit.
'tears when beaten mopped up by doctor' is the wordplay.
'when beaten' indicates an anagram (letters beaten into a new form).
'mopped up by' indicates putting letters inside (inserted letters get eaten or 'mopped up').
'doctor' becomes 'mo' (medical officer).
'tears' anagrammed gives 'aestr'.
'aestr' put into 'mo' is 'MAESTRO'.
Can you help me to learn more?
(Other definitions for maestro that I've seen before include "Orchestral conductor" , "car" , "best in field" , "Wizard" , "Eminent conductor or composer" .)