Make one's mark, in a way (4)
(Other definitions for etch that I've seen before include "Wear away by chemical reaction" , "Make picture by engraving metal" , "Design by eating out" , "Cut; engrave" , "Prepare artwork" .)
(Other definitions for carve that I've seen before include "Truncheon" , "produced by desire, with a shifting to the left" , "Slice (joint)" , "Slice (meat)" , "Cut meat with sharp knife" .)