Insisted on is a term that can be used to describe a situation in which someone demands or insists that something be done. Demanded, with 8 letters, is a verb meaning to ask for something in an authoritative manner. HARPED, with 6 letters, is a verb meaning to continually talk about something in an annoying way. Claimed, with 7 letters, is a verb meaning to state something as true without providing proof. All three words can be used to describe someone who is insisting on something.