It's not related to the lifetime in Self before or after the Clippy suggestion.
The two forms are equivalent as you never used 'a except in the header, i.e. not in the get method.
You don't need '_ in the get method either. They're the same as complete elision in this case.
Check out the documentation here. Note that lifetimes that are introduced in a larger scope than the functions -- like a lifetimes within the Self type -- are never candidates for elided parameters.