Corresponding, strangely, as yours truly (4)
I believe the answer is:
same
'corresponding' is the definition.
(similar in meaning)
'strangely as yours truly' is the wordplay.
'strangely' indicates anagramming the letters.
'yours truly' becomes 'me' (the person who set this crossword).
'as' with letters rearranged gives 'sa'.
'sa'+'me'='SAME'
(Other definitions for same that I've seen before include "Aforesaid" , "uniform" , "Identical, unchanged" , "If - be the food of love, play on (Twelfth Night)" , "Identical, not different" .)