Poet possibly born around the end of the century (5)
I believe the answer is:
byron
'poet' is the definition.
(I have seen 'English poet ' mean 'byron' so perhaps 'poet' could also mean 'byron')
'possibly born around the end of the century' is the wordplay.
'possibly' is an anagram indicator.
'around' is an insertion indicator.
'the end of' indicates one should take the final letters.
The last letter of 'century' is 'y'.
'born' is an anagram of 'bron'.
'bron' going around 'y' is 'BYRON'.
(Other definitions for byron that I've seen before include "Author of 'Don Juan'" , "Eng. romantic poet (Don Juan)" , "Lord . . . . ., English poet who wrote 'Childe Harold's Pilgrimage'" , "English poet, said to be 'mad, bad, and dangerous to know', d. 1824" , "Lord George, poet" .)