A very long time beginning to make a gesture (4)
I believe the answer is:
ages
'a very long time' is the definition.
(ages can informally mean a long period)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for ages that I've seen before include "Indefinitely long time" , "Times" , "(What seems) a very long time" , "Matures" , "Rock of - - (hymn)" .)