Just for fun, I made a mockup for what a level-up learnset for Kleavor might look like.
It is pretty straightforward, switching out Wing Attack, Agility and Air Slash for Rock-type moves, in the same way Scizor learns Metal Claw, Iron Defense and Iron Head instead at those levels. The levels and order are the same as Scyther/Scizor's SwSh learnsets, but I reckon they will be roughly the same in PL:A.
I can see Kleavor getting Accelerock as a parallell to Scizor's Bullet Punch, if GF are willing to let Lycanroc share it with others. Smack Down seems to fit Kleavor the best as an early level Rock-type move, at least over Rock Throw and Rock Tomb in the 50-60 base power bracket. As such, I guess the new move Stone Axe is the parallell to Scyther's Air Slash and Scizor's Iron Head. If so, then it might end up having a similar base power as those moves.
Alternatively, Stone Axe might be Kleavor's evolution move, and would not really be tied to Air Slash's and Iron Head's base power. Rock Slide might fill that role instead, considering it is a flinching move like Air Slash / Iron Head.