Hahaha, I agree that bad clothes can sometimes be an good signal of rationality. I actually know 4 professors here who wear socks with sandals.
On the other hand, though, there are certain clothing combinations that a significant fraction of people can't stand (that being said, I know a number of people who can't stand fashionable clothes like high heels either). Sometimes, a certain set of clothes can make someone less willing to talk to you, which can translate into a lost opportunity. Now, whether that set of clothes coincides with the set of non-fashionable clothing by the population you're potentially interested in - that's an open question
I actually know 4 professors here who wear socks with sandals.
What's supposed to be wrong with wearing socks with sandals?
Yesterday I attended a meetup where the discussion turned to fashion for a time (because apparently the mini-camp participants were given some instructions on fashion as a useful part of instrumental rationality). (Unfortunately none of us knew much about the topic so the discussion turned into "how can we find an expert to advise us for minimal cost?") It was mentioned that dressing "badly" can be a useful signalling device, and some examples were given. Here's an attempt at a more complete list of possible signals one might be sending by dressing "badly".
The idea here is, if you do decide to start dressing "well", know what you're giving up first. (Of course you're also giving up possibly implying that nobody taught you how to dress and you're not sufficiently strategic to have thought of learning it yourself. Or implying that you don't have the mental, financial, and/or social resources to keep up with fashion. A lot of signaling depends on what your audience already knows about you, or can infer from your other signals.) See also Yvain's related post, Why Real Men Wear Pink and comments there.