The fruit of engagements (5)
I believe the answer is:
dates
I believe this is a double definition.
'the fruit' is the first definition.
(type of fruit)
'engagements?' is the second definition.
('date' can be a synonym of 'engagement')
'of' acts as a link.
(Other definitions for dates that I've seen before include "Fruits for social engagements" , "Occasions" , "Dried fruit" , "Takes out" , "becomes less fresh" .)