I have a task of creating a fixture and results section for a website. I have a post type of fixture and several taxonomies like countries, teams, leagues and seasons. I have created a repeater field to select a team name one and team name two and add venue and date to it. My problem is I cannot output this in a category or archive page.
I am not sure if the problem is outputting post object or so. I can give access if my explanation is not enough.
From your description your are mapping the repeater field to a category and the issue is most likely arising from the way your grabbing the values from the Taxonomy term.
Please have a look at this page with more info on how to get values from some tax terms: http://www.advancedcustomfields.com/resources/get-values-from-a-taxonomy-term/