Famous Indian; he comes back in having run out (5)
I believe the answer is:
nehru
'famous indian' is the definition.
(I've seen this before)
'he comes back in having run out' is the wordplay.
'comes back' says the letters should be written backwards.
'in' indicates putting letters inside.
'having' becomes 'n' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'out' means to remove the last letter.
'he' back-to-front is 'eh'.
'run' with its last letter taken off is 'ru'.
'n'+'ru'='nru'
'eh' inserted within 'nru' is 'NEHRU'.
Can you help me to learn more?
(Other definitions for nehru that I've seen before include "Jawaharlal -, first PM of India" , "Pandit . . . . ., former Indian Prime Minister" , "Indian statesman" , "Indian prime minister, father of Indira Gandhi" , "Former Indian leader" .)