It's slang. It could mean any of these:
"I don't like doing things that way."
"That's not the way I dance."
"That's not the way I have sex." (If I said "I don't get down like that", this is what I would mean)
It depends on the context!
2012年12月11日
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'Get down' is slang for
1) to party
2) dance
3) have sex
The exact meaning here would need the context.
Probably from "Let's get down to it" = Let's get started