There are a couple of ways that you could approach this. It depends on what your end goal is going to be.
If you want to know the number of visits where it was submitted more than once, make a segment where your metric is greater than one (make sure the segment is at a visit level), and then apply that to visits. If you break this down by user ID it will show you the users that have submitted the form more than once in a visit.
If you want to know how many times each user submitted a form, you can put the metric against a visitor ID to see how many times each person submitted it (thought it wouldn't necessarily be in the same visit).
If you have a visit ID captured in workspace, you can put the metric against that to see it by visit (if you don't have a visit identifier in workspace, if you have data feeds set up, you can use that).
If you want to know the average amount of times the form was submitted, you can do metric divided by visits. To make it a bit more accurate you can put a filter on the visits where metric has to exist at least once, that way it's dividing the number of form submits by the number of visits that submitted at least one form.
If you're looking for a particular user/visit, you can put the metric against user ID and break down the user ID by visit number. If you're trying to look at a large amount of visitors/visits, this method would be really cumbersome, but if you're trying to look at a specific visit, this would be a good way to do it.
