All 4 Uses

insistent
in
A Spool of Blue Thread
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All along she had thought of it, but now she grew more insistent.†
p. 16.2 *

insistent = persistent or continuing or firm
He was hanging around her in a too-close, insistent way, still fully dressed because it wasn't quite his bedtime yet.†
p. 86.6
Red was on the aisle, at Amanda's insistence.†
p. 185.1

insistence = demand or persist
First he moped around the house but eventually, at his father's insistence, he got a job of some sort at Stephenson Savings & Loan.†
p. 227.9

Definitions:

(1) (insistent)
persistent or continuing or firm -- especially in maintaining a view or demanding something
(2) (meaning too rare to warrant focus)