Unusually fertile characters may get around to produce a long list of descendants (6,4)

I believe the answer is:

family tree

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'around to produce a long list of descendants' is the definition.
I can't tell whether this definition defines the answer.

'unusually fertile characters may' is the wordplay.
'unusually fertile characters' becomes 'family' (I am not sure about this - if you are sure you should believe this answer much more).
'may' becomes 'tree' (I've seen this before).
'family'+'tree'='FAMILY TREE'

'get' acts as a link.

Can you help me to learn more?

(Other definitions for family tree that I've seen before include "Genealogical chart" , "Personal history" , "Chart of relations" .)

I've seen this clue in The Irish Times.

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