Third person's at that location reportedly (5)
I believe the answer is:
their
'third person's at that location reportedly' is the definition.
'their' can be an answer for 'third person's' ('their' is a third-person pronoun). I am not certain of the remainder of the definition.
'at that location reportedly' is the wordplay.
'at that location' becomes 'there'.
'reportedly' shows a homophone (sound like).
'there' sounds like 'THEIR'.
Can you help me to learn more?
(Other definitions for their that I've seen before include "Those people's" , "Belonging to those people" , "belonging to an individual" , "Relating to them" , "Some would say his (or her)" .)