A number of googlers have been landing here over the past day or so trying to find out if there is a possessive apostrophe in ‘clothes cupboard’. Interesting!
Well, I’d say no. I think it’s safe to see ‘clothes cupboard’ as a compound noun. A compound noun is a noun made up of more than one word. There are related compound nouns such as ‘clothes peg’, ‘clothes line’ and ‘clothes horse’. Possessive apostrophes are not needed in compound nouns.