I was considering "SoapSaver" because I wanted it to sound similar to #enSweepen [gd0096], but "soap savers" are actual things that already exist.

This morning, I remembered the SecSavr Slime, the hotend assembly in #SecSavr Sublime [gd0036], and it didn't take long for me to be convinced to at least try it:

I also consider S[L³]imeSaver and SLLLimeSaver because of "Liquid Laminate Lithography". 

The idea behind the name is that the machine is reclaiming the slimy resin instead of letting it sit on the printed part and having to clean it off afterwards.