Danish composer seen in broadcast around end of April (7)
I believe the answer is:
nielsen
'danish composer' is the definition.
(I've seen this before)
'seen in broadcast around end of april' is the wordplay.
'broadcast' indicates an anagram.
'around' indicates putting letters inside.
'end of' indicates one should take the final letters.
The last letter of 'april' is 'l'.
'seen'+'in'='seenin'
'seenin' is an anagram of 'niesen'.
'niesen' placed around 'l' is 'NIELSEN'.
(Other definitions for nielsen that I've seen before include "Scorer" , "Musician" , "Carl -, Dan. composer" , "Danish composer, Carl (1865-1931)" , "Danish symphonist" .)