Yes, normal growth habit after flowering --cut it back, spread compost & water. Then it will put on more growth again. I have a different ornamental oregano & several culinary types that respond well to this trimming.

Yes, to how it spreads to form a larger clump to divide if it outgrows it's space.

In my mild WA state climate oregano does better in full sun, but I have it in several different places here with varying amount of sunshine. Depends if you have a hot summer climate where it might do better in part sun.

Once established drought tolerant in the ground in my mild summer climate. Not sure about your climate. I'd water if droopy or wilted, but not before as it likes to dry out some.

Hope that helps!

Thanks!
I will let my plant dry out a bit in its pot between watering...think that might be the problem with my initial planting site. It is certainly not droopy...more like crispy as the few branches left turn brown and dry up. I do live in a hot and humid area (central VA), but thought that Kent's B. would do OK in full sun as that is the setting where I first saw this lovely ornamental in NC. I'll give it some protection from late afternoon sun and hope for the best.
Thanks, again.

Thanks for checking back & sharing your good results. We're all learning as we garden. Perhaps, it will do better with a bit of planned neglect (letting it dry out).

Further follow-up on my plant: it survived the winter in it's new location where it gets a bit more shade and has better drainage. This spring, it is putting up lots of encouraging shoots and spreading nicely, so moving it was the answer. I look forward to some lovely blooms/bracts this year.
So, the take-home lesson is if you live in a hot/humid area, give this plant good drainage and a little respite from the hot afternoon sun.

I have 2 pots of ornamental oregano. They were doing great all Spring however the blooms are drying now.
And they are a bit leggy. Can I cut them back and get regrowth for the rest of the summer ?