I'm occasionally approached by recruitment agencies on LinkedIn. Typically, they give me a few words of description of the role and the un-named company, and ask for my cv and phone number. I assume they send the same message to everyone who meets their search criteria. I don't like handing over personal details to strangers without more information, and if I was to apply I would want to tailor my cv to the role, so I always ask them for the full job description. Is it a reasonable ask? Usually I get it, but sometimes I hear nothing more. I assume if they really did think I was a good fit (rather than just casting their net wide) they would be happy to oblige!