Is it possible the word is:
Tranquil
I took a word to work with me,
And it made me feel quite chill.
By definition, one who is tranquil is calm and relaxed.
But after I mixed it up to some degree,
The wooziness began to fill
Tranquil anagrams to Quantril, which is brand of a discontinued drug that was used to treat vomiting and nausea. Would probably make you feel a bit woozy...
So I mixed it up - I took away
And it helped me get back home.
If you anagram again, and take away some letters you can find Rail, Trail or Train - all potentially helpful in getting home.
I was prescribed some dice to take today
And let it loose full blown!
I feel like I might be stretching a bit here, but bear with me... If we choose Rail as the word from the previous step, and add a singular die (you don't want to take too many at a time after all), we can anagram to deliria, which is a full-blown state of wild excitement!