Reportedly reckoned on caller (5)
I believe the answer is:
guest
'caller' is the definition.
(someone making a visit or call)
'reportedly reckoned' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'reckoned' becomes 'guessed' (guessing is a kind of reckoning).
'guessed' sounds like 'GUEST'.
'on' is the link.
(Other definitions for guest that I've seen before include "Invitee" , "Person receiving another's hospitality" , "One who's invited" , "Someone invited" , "Recipient of hospitality" .)