Cleared, accepting student is irritated (7)
I believe the answer is:
nettled
'is irritated' is the definition.
(synonyms)
'cleared accepting student' is the wordplay.
I cannot really understand how this works, but
'student' could be 'l' (as in L-plates for learner drivers) and 'l' is present in the answer.
'cleared' could be 'netted' ('net' can be a synonym of 'clear') and 'netted' is found within the remaining letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for nettled that I've seen before include "becomes annoyed" , "annoyed one" , "Provoked" , "Annoyed as by stinging plant" , "Stung!" .)