There's talk of other people's (6)
I believe the answer is:
theirs
'people's' is the definition.
I know nothing about this answer so I can't judge whether this works.
'there's talk of other' is the wordplay.
'talk' indicates a 'sounds like' (homophone) clue.
'of other' becomes 's' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'there' is a homophone of 'their'.
'their'+'s'='THEIRS'
Can you help me to learn more?
(Other definitions for theirs that I've seen before include "Belonging to those people" , "Owned by them" .)