What is an appropriate word for a "rerise"?

Solution 1:

We've been known to get some mileage out of the term renaissance. ("Re-nascence", or rebirth.)

In contexts less fraught with pomp and circumstance we would probably speak of a comeback.

Solution 2:

How about resurrection? From the OED:

3. Revival or revitalization, esp. of a person who or thing which has fallen into inactivity, disuse, or obscurity; an instance of this.

Another similar option is rebirth:

2. A revival or renewal of a thing; a new beginning. Also as a mass noun.

2005 Geographical Sept. 80/1 The grim heroism in defiance of Nazi and Soviet horrors and the miraculous rebirth of the modern state.

Solution 3:

In recent usage, "reascendance" is a more common synonym for "rerise". Unlike some of the other suggestions here, it means exactly rising again, and does not imply starting over.

Solution 4:

Yet another general reference question. SIGH!

comeback, reawakening, rebirth, rebound, recovery, rejuvenation, renaissance, renascence, renewal, restoration, resurgence, resurrection, return, revitalization, revival, triumph