cryosurgically

The story

1. Ancient Greekκρῠ́ος (krŭ́os)
2. Englishcryo-
3. Proto-Indo-European*ǵʰes-
4. Proto-Indo-European*ǵʰésōr
5. Proto-Hellenic*kʰéhər
6. Ancient Greekχείρ (kheír)
7. Proto-Indo-European*werǵ-
8. Proto-Indo-European*worǵós
9. Proto-Hellenic*worgós
10. Ancient Greekχειρουργός (kheirourgós)
11. Ancient Greekχειρουργῐκός (kheirourgĭkós)
12. Late Latinchīrurgicus
13. Proto-Indo-European*h₂el-
14. Proto-Indo-European*h₂élisder.?
15. Medieval Latincirurgicālis
16. Middle Frenchcirurgica
17. Middle Englishcirurgical
18. Englishsurgical
19. Englishcryosurgical
20. Proto-Indo-European*leyg-
21. Proto-Germanic*līką
22. English todaycryosurgically

From cryosurgical + -ly.