They are still 'humanoid statues' though the exact makeup is up to the creator. It should be appropriate, IE. You cannot look like a PC race. You should stick to what is already defined, but if you wanted a blue crystalline construct instead of a white one (diamond golem), that is fine. If you wanted a green and yellow liquid metal construct, etc.
Basically it needs to look construct like, so that if someone goes, what the hell are you, you can go, im a <blah> construct, and they would go, 'oh cool' and not look at you funny and then refer to you as the green hobling.
Basically it needs to look construct like, so that if someone goes, what the hell are you, you can go, im a <blah> construct, and they would go, 'oh cool' and not look at you funny and then refer to you as the green hobling.