Tiresome person primarily out to play for time (9)
I believe the answer is:
temporise
'play for time' is the definition.
('play for time'->'temporize' is in my internal thesaurus and 'ize'->'ise')
'tiresome person primarily out' is the wordplay.
'primarily' says to take the initial letters.
'out' is an anagram indicator (out can mean wrong or inaccurate).
The first letter of 'person' is 'p'.
'tiresome'+'p'='tiresomep'
'tiresomep' anagrammed gives 'TEMPORISE'.
'to' is the link.
(Other definitions for temporise that I've seen before include "Emptier so as to avoid giving a definite answer" , "Delay" , "Hedge" , "fail to decide" , "Put off" .)