Here is the full list of all 11 Limberjack achievements.
Cut two limbs simultaneously
Recorded a time below 60 seconds
Threw the chainsaw into the sea
Threw the chainsaw 50m
Threw the chainsaw 100m
Cut three limbs simultaneously
Cut four limbs simultaneously
Recorded a time that tops the global leaderboard
Recorded a time below 30 seconds
Recorded a time below 20 seconds
Recorded a time below 15 seconds