Having possibly read out two letters, was paid (6)
I believe the answer is:
earned
'two letters was paid' is the definition.
I can't tell whether this definition defines the answer.
'having possibly read out' is the wordplay.
'having' becomes 'ne' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'possibly' indicates an anagram.
'out' means one lot of letters goes inside another.
'read' is an anagram of 'eard'.
'ne' put inside 'eard' is 'EARNED'.
Can you help me to learn more?
(Other definitions for earned that I've seen before include "Neared (anag.)" , "Gained through work or effort" , "Gained by working" , "Took home" , "Acquired through work or effort" .)