It's not at all clear to me what you are trying to do.

I think one result you wanted was
  a f.`(b f.)@.c  f.

Or, if you prefer:
  fix_gerund=:3 :'{.''''`(y`:6 f.)'"0
  (fix_gerund a`b)@.c f.

As for partition_list, perhaps <\ would be more convenient?
 3 <\ 'adfggr'

Or, if you prefer:
partition_list=: a:,~<\

Please correct me if I've missed your point.

Thanks,

--
Raul
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