How to add a class to the  link elements within a Multiple Values field in a View?
Just rewrite the lot with appropriate Replacement Patterns.

In Views:

Rewrite Results:


Rewrite the output of this field : Tick
Text : Add as appropriate, ie [field_link-title]
Output this field as a link : Tick
Link path : Add as appropriate, ie [field_link-url]
Link class : Add as appropriate


Above assumes your multi-value field is Link.

If any other field you can just Rewrite with output as link, link path and link class.

THERE does not seem to be a way to write the other original attributes back into the link. They can be obtained from a Replacement Pattern, but there is no form input to add them back.