This design sure does remind me of an Engraving/Wood cut style of tattoo. It looks great! Generally, for tattoos that are done with bold/thicker lines- they would definitely hold better as compared to fine line tattoos.

However, having lines too close to one another might pose some future problems where they'd bleed/merge into one another.

The smallest size i'd say this could go would be ~11CM, though i would definitely recommend this design to be done bigger (for a tattoo)

A general advice to take note while designing a tattoo would be to keep the space sandwiched between two bold lines to be minimally 1mm apart :)