Time to show a bit of eagerness (3)
I believe the answer is:
age
'time' is the definition.
(an age is a period of time)
'a bit of eagerness' is the wordplay.
'a bit of' says the answer is hidden in the clue.
'AGE' is hidden within 'eagerness'.
'to show' is the link.
(Other definitions for age that I've seen before include "Era; grow old" , "How long something has existed" , "Maturity" , "Years lived so far" , "Time in years" .)