It’s not true director gives number to Kerber (4)
I believe the answer is:
lied
'number to kerber' is the definition.
I can't tell whether this definition defines the answer.
'it's not true director' is the wordplay.
'it's not true' becomes 'lie' (lies are false or untrue).
'director' becomes 'd' (abbreviation eg in film reviews).
'lie'+'d'='LIED'
'gives' is the link.
Can you help me to learn more?
(Other definitions for lied that I've seen before include "refused to admit it" , "conveyed a false impression" , "Told an untruth" , "Idle (anag.)" , "Was economical with the truth" .)