Grime. Grime is a style of music, even a lifestyle to some. Similar to hip hop, grime borrows from a wide range of music styles. Grime is heavily influenced by hip hop and speed garage, essentially being a cross between the two.Other strong influences in grime include drum 'n' bass, dub, dubstep, reggea, and soul.rime. Grime is a style of music, even a lifestyle to some. Similar to hip hop, grime borrows from a wide range of music styles. Grime is heavily influenced by hip hop and speed garage, essentially being a cross between the two.