list for multiple interests

I want a field where a user can store multiple names, specifically a list of surnames that they are interested in - so that this can be searched by others.

This would be completed on registration and editable later.

Obviously I can create a text field which can be filled in: surname1, surname2, surname3 etc
but I thought a list would be neater:
surname1
surname2
surname3
etc

Is this possible?

Thank you,
Richard

You should be able to do that using a Tags field. It's like a Select field except users can add their own values to it.