Offer it up

To offer it up is to test fit something before permanently securing it in place.

A Mechanic was building a set of Exhaust Headers and he had to offer up to the Engine a couple of times to make it fit.
While cutting a Rafter for a Roof a Carpenter had to offer it up a few times to make it fit correctly.

offering up

An offer to provide goods or services.

The academic institution is offering up a free scholarship and board to top applicants.