Most of words rejected; Everyman’s beginning to get tired (6)
I believe the answer is:
drowse
'tired' is the definition.
(I've seen this before)
'most of words rejected everyman's beginning' is the wordplay.
'most of' means to remove the last letter.
'rejected' says the letters should be written backwards.
'everyman's beginning' becomes 'sy' (I can't explain this - if you can you should give a lot more credence to this answer).
'words' with its final letter removed is 'word'.
'word' reversed gives 'drow'.
'drow'+'sy'='DROWSY'
'to get' is the link.
Can you help me to learn more?
(Other definitions for drowse that I've seen before include "Doze, be half asleep" , "Feel dozy" , "Nod" , "feel sleepy" , "Snooze" .)