Take a look at the sentence again:
For a sentence to be a comma splice, you must have two complete sentences joined with a comma. In the example above, no such comma exists. Cindy's mumbling often gets her in trouble is one sentence. Just the other day, in fact, her stylist misunderstood ... begins the second sentence. Because only empty space exists between the two, you should call this error a fused sentence.
Remember that both comma splices and fused sentences are major errors. They make your reader think that you cannot write a correct sentence. Because the sentence is the most basic building block of a piece of writing, comma splices and fused sentences make you look like an amateur!
To fix the problem above, you could put a period after trouble and begin just with a capital J.