Hatchet man tattoos are mostly seen around Insane Clown Posse fans aka the Juggalos.
This tattoo of a running man with dreadlocks holding a hatchet was first used as a logo for Psychopathic Records .

So what does the hatchetman tattoo mean ?
This tattoo mostly represents the juggalo movement and subcultures.
The meaning behind the tattoo is at best symbolic, but it can be seen as having various meanings. It stands for creativity, rebellion against authority figures, personal freedom, and individualism among other things.
The Hatchet man tattoo and Sex offenders
This tattoo is surprisingly found on various sex offenders (see this)
I also found a thread on reddit talking about hatchet man tattoo meanings, and a number of redditors mentiended it.
Family man
This tattoo can mean your willingness to provide to your family whatever it takes.
It is a symbol of loyalty, and looking out for the family
Embrace the hate
The ICP (Insane Clown Posse) is self proclaimed most hated group in the world, so if you’re misunderstood and you don’t care everyone giving you the stinky eye, than this tattoo is for you.

Everyone is gonna hate the three of us for this. Best looking hatchet man hands down@tessydoodle comment on instagram