If your partner is a supervisor it could jeopardize their position. I know you can't have two family members working at kroger in the same store so under that rule it could be grounds to dismiss one of you.
check with the shop steward discretely.
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One of the department heads in my store is married to the floral clerk, and I have ****ed a co-worker before, but honestly, what happens sexually between 2 people is none of the companies business anyways.