Ellsworth

Most American's know what Lame Duck means in politics.
Trump is no Lame Duck, at the start of his second term of service.

I could find no 'cute name' to describe a President who earned a delayed second term.
There's simply not much precedent for such a President.

It's a rare bird, and rare 'wind conditions,' that cause it to happen.
Sticking to a bird theme, there are two terms that might fit well for such an event...

Soaring Eagle
or
Wild Turkey

The traditional view of those two birds might simply be, the one the country adopted as a symbol and the one that could have been.

If these two labels had been considered long enough ago, neither would have carried much baggage into flight (endangered / gambling and feral / whiskey). In this era, pundits would surely use the various implications to either bolster or lampoon, depending on their bias. That's not my intent, I simply like both labels to describe the phenomenon of a slightly delayed second term because of they convey energy and historical meaning.

(Sure 'Phoenix' could also work, but let's keep it real)