A highly Pythonic, Easier to Ask Forgiveness than Permission[1] version:

    FIZZ=3
    BUZZ=5
    cache = {}
    
    for i in range(FIZZ-1, FIZZ*BUZZ, FIZZ):
        cache[i] = 'Fizz'
        
    for i in range(BUZZ-1, FIZZ*BUZZ, BUZZ):
        try:
            cache[i] += 'Buzz'
        except KeyError:
            cache[i] = 'Buzz'
            
    for i in range(100):
        try:
            print cache[i%(FIZZ*BUZZ)]
        except KeyError:
            print i+1

[1] https://docs.python.org/2/glossary.html#term-eafp

A generator version:

    from itertools import izip, islice
    
    def fizzes():
        i=0
        while True:
            yield '' if i%3 else 'Fizz'
            i += 1
        
    def buzzes():
        i=0
        while True:
            yield '' if i%5 else 'Buzz'
            i += 1
        
    def numbers():
        i=0
        while True:
            yield str(i+1) if i%3 and i%5 else ''
            i += 1
            
    print "\n".join("".join(parts) for parts in islice(izip(fizzes(), buzzes(), numbers()), 100))