Short answer: a lot of native speakers use organize for. A search of authentic examples suggests that its usage is 'correct', even though some readers (such as myself, a native speaker) may not be thrilled with it.
Longer answer:
I do not particularly like organize for. But when I search Google Books, it brings up a lot of authentic uses. See my search results. Sometimes Google results can be deceptive, but even as far as Page 6 of the results show authentic uses by native speakers.
Organize for seems to be used along the lines of prepare for. The latter is a collocation that is time tested as 'correct'. Language is always changing, and although not everyone may like organize for, apparently enough people do, so that it would be presumptious to say that it is not correct.
I do not know every single usage in the English language that people use that is considered correct by at least a large segment of native speakers: in New York people say stand on line to buy a movie ticket; in the rest of the USA we say stand in line to buy a movie ticket. If I said on line is wrong just because I don't use it or like it, I would not be using a very good criterion for my statement. That is why I have to check what other native speakers are saying.
If clumsy is used to describe a person, it usually means that that person lacks physical coordination: they trip and fall over a lot, or are always dropping things, or something similar.
However, clumsy can also be used somewhat metaphorically to mean "disjointed" or "haphazard" or even, as dictionary.com puts it, "ill-contrived." Example:
Donald Trump's tweet of himself eating a taco salad was a clumsy attempt at connecting with Hispanic voters.
Awkward, when used to describe a situation, can be pretty similar to the metaphorical use of clumsy, or it can be used to mean that something about the situation was socially weird: like if you're trying to make a good impression with your significant other's parents and you make some offhand comment about "oh I hate pie, I prefer cake," but then you find out that one of your SO's parents owns a bakery where they only make pies.
When awkward is used to describe a person, it usually means they are socially awkward: maybe they ask questions that are a little too personal when first meeting someone, or they have a habit of standing too close to people, or whatever.
Mostly, I would say using "clumsy" and "awkward" in the same sentence would be overkill and possibly redundant, but maybe not necessarily. In your example sentence
He tried to dance, but he was too clumsy and awkward.
I would say that clumsy describes the physical lack of coordination that prevented his dancing from being good, and awkward describes the unpleasant atmosphere that resulted from having to watch his awful dancing.
Best Answer
The idiomatic phrase is
which means to do something quite often.
You can think of the phrase as