Can someone give me some direction on "typically" you remove a "new construction", recessed housing can light? Are they screwed in somehow? Are there clips holding on to the joist on the sides? Etc. Thanks!

They are nailed or screwde to the bottom of the truss'
On expandable arms
You have to get in the attic

I hae no attic access on this light.

no attic
turn off pwer disconnect wire
and use hammer or 2X4 and beat it up and out of the way