All 3 Uses

reciprocate
in
The Remains of the Day
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Perhaps I was expected to laugh heartily; or indeed, reciprocate with some remark of my own.†
Chpt Prol. *

reciprocate = give in return
As it happened, I had that same morning been giving thought to the dilemma of whether or not I was expected to reciprocate my employer's bantering, and had been seriously worried at how he might be viewing my repeated failure to respond to such openings.†
Chpt Prol.
If only I had as much spare time as you evidently do, then I would happily reciprocate by wandering about this house reminding you of tasks you have perfectly well in hand.†
Chpt 2m -

Definitions:

(1) (reciprocate)
to give in return -- such as invitations, gifts, actions, or feelings
(2) (meaning too rare to warrant focus)
Much more rarely, reciprocate can refer to alternating the direction of something as in a reciprocating saw.