One’s press release will include line of questionable delicacy (8)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

I’M (one’s = one is, which really means “a person in general would be”, but may be used as an alternative to “I am”) + PR (abbreviation for press release), containing ROPE (line = a piece of rope used for a specific purpose, especially in nautical usage).