Give approval to at last, or half seem to (7)
I believe the answer is:
endorse
'give approval to' is the definition.
(I've seen this before)
'at last or half seem to' is the wordplay.
'at' means one lot of letters go next to another.
'last' says to take the final letters.
'half' means to take half the letters.
'to' becomes 'endo' (I am not sure about this - if you are sure you should believe this answer much more).
The final letter of 'or' is 'r'.
'seem' cut in half is 'se'.
'r'+'se'='rse'
'rse' after 'endo' is 'ENDORSE'.
Can you help me to learn more?
(Other definitions for endorse that I've seen before include "No reeds (anag)" , "Give one's approval to" , "Put one's name to, approve" , "Sanction -- red nose (anag)" , "'Approve of, back (7)'" .)