Networked with mafioso regularly - didn't tell the truth about it (7)
I believe the answer is:
liaised
'networked' is the definition.
(to liaise with is to network or communicate with)
'mafioso regularly didn't tell the truth about it' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'didn't tell the truth' becomes 'lied' (I've seen this in another clue).
'about it' is an insertion indicator (some letters go around or about others).
The alternating letters of 'mafioso' are 'ais'.
'ais' put within 'lied' is 'LIAISED'.
'with' acts as a link.
(Other definitions for liaised that I've seen before include "got in touch" , "consulted together" , "Acted as go-between or link" , "Maintained contact" , "Networked" .)