The user can regulate/control their own healing/regeneration process, speeding up or slowing down the process, and even potentially advancing it to allow such things as regeneration/reattachment of severed limbs.
Practitioners of the Hercules Method (The Strange Talent of Luther Strode)
Ichiryu (Toriko)
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Eren Yeager (Attack on Titan) can regulate his regeneration, preventing his leg from regrowing in order to pose as a wounded soldier.
Wade Wilson/Deadpool (Marvel Comics) has some mental control over his healing factor, allowing him to speed or slow down the process...
...furthermore, his healing factor was specifically designed to counteract his cancer and is regulated by it in kind. As a result, Super-Skrulls who were implanted with it kept growing tissue until they exploded.
Shinnō (Naruto) can use his Body Revival Technique to regenerate at his desired rate, holding it off to fake his death.
Users of the Hercules Method (The Strange Talent of Luther Strode) can willfully regulate their recovery ability to expedite or dilute excess regenerative processes.
Kratos (God of War) learned to effect his own recovery after leaving Greece.
Like his father, Atreus (God of War) can regenerate wounds at his desired rate, enabling him to consciously speed up the process.
Piccolo (Dragon Ball series) can regenerate at his desired rate, delaying the process to trick Cell into telling him everything about him...
...and to dupe Garlic Jr. into thinking he was infected by the Blackwater Mist.
Sylar (Heroes) was able to delay his healing ability while shapeshifted, fooling others into thinking Noah Bennet killed an innocent man...