It is no use your telling me not to do it.
句子可以这样看:
What is no use?
Your telling me not to do it.
第二句是名词短语,阐述说明前面的 it 的意思
即
It (= your telling me not to do it) is no use
这种结构很常见.
其他类似句子:
It's no use your crying over spilled milk.
It's no use my saying sorry.