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Previously I heard יקר מחוכמה מכבוד סכלות מעט but in the book קֹהֶלֶת I read
יָקָר מֵחָכְמָה מִכָּבוֹד, סִכְלוּת מְעָט
What is the difference between חוכמה and חָכְמָה ?
Are they just two different spellings of the same word or there is a difference in meaning?
Short answer: It's two spellings of the same word.
Longer answer: Because vowels are diacritical marks on letters in Hebrew (not themselves letters), they're often omitted. When that happens, sometimes they're replaced with extra letters to make the words easier to read. Here, because the vowel between the ח sound and the כ sound is pronounced as if it were the letter ו, someone decided to rewrite חָכְמָה as חוכמה.
The accepted answer is correct, but it doesn't tell the full story. חוכמה is a kind of written "slang" to leave little room for ambiguity when vowels aren't used. (You'll almost never see חוכמה in Tanakh or even modern Hebrew dictionaries.)
In other contexts, however, the vowel differences are significant. For example, שמרה /shomra/ means "(you) watch!" (masculine singular imperative) and שומרה /shomera/ means "(she) watches..." (feminine singular participle). Note that the vav is used as "slang" here too sometimes. So in a modern Hebrew newspaper, you might see both שומרה for both שמרה and שומרה even though they're two different words. And to make matters even more confusing... in Tanakh, you might see שמרה (albeit with holam) used in lieu of שומרה.
