According to the Mayo Clinic and other sources.
"People with Tourette's syndrome display unusual behaviors over which they have very little control. They may repeatedly blink their eyes, shrug their shoulders or stamp their feet. They may echo everything someone says, or have the urge to cough or sniff continually. They might even shout obscenities.
All these odd behaviors are called tics. With great effort and concentration, people with Tourette's can sometimes suppress their tics, or at least postpone them until they can be expressed in a more convenient time and place. But most tics must be expressed eventually.
At least 100,000 Americans have Tourette's syndrome, named for the French neurologist who first described the condition in 1885. Its symptoms typically begin when children are in grade school, with males outnumbering females three to one. While there is no cure, medication can reduce symptoms. Many children outgrow the condition after adolescence."
This seems to corelate with what the Yale study indicates as well:

Main results
The mean age of tic onset was 5.8 years, and the mean age at which symptoms were at their worst was 10 years (range 6 to 15 y). The mean worst ever tic severity score on the YGTSS was 29.8. During the period of worst ever tic severity, 22% of patients had severe tics (YGTSS scores 40 to <50), 28% had marked tic severity (YGTSS scores 30 to <40), 39% had moderate tic severity (YGTSS scores 20 to <30), and 4% had mild tic severity (YGTSS scores <20). Greater severity of tic symptoms during the worst ever period was associated with increasing age at the time of worst ever symptoms (r=0.58, p<0.001). By 18 years of age, 47% of patients had no tics, 11% had minimal tic symptoms (YGTSS score <10), 28% had mild symptoms (YGTSS score 10 to <20), and 11% had moderate or marked tic severity (YGTSS scores 20 to <40). Tic severity at baseline was not associated with worst ever or current tic severity. Tic severity at follow up was associated with tic severity during the worst ever period (r=0.37, p<0.03). The onset of puberty was not associated with the timing or degree of worst ever tic severity.
Conclusions
In patients with Tourette's syndrome, tics began at a mean age of 5.8 years and were most severe at a mean age of 10 years. The level of severity of tic symptoms during the worst ever period was associated with older age during this period but not at baseline. By 18 years of age, most patients were free of symptoms; tic severity at follow up was associated with tic severity during the worst ever period. The onset of puberty was not associated with the timing or degree of worst ever tic severity.

Does Tourette Syndrome Ever Resolve On Its Own?
Yes, in majority, tics tend to resolve as the children approach puberty. Now, that's not true in all cases, and it's not true of some of the comorbid disorders, such as ADHD, OCD, or other problems. But particularly if it's pure Tourette syndrome, without any of the other features, it has a very good prognosis.
And:

9. "Stress" or emotional factors do not cause TS, but may temporarily aggravate tics. It's best to consider most TS to be a developmental variant of normal that will probably become more stable and less obvious in adolescence. The worst ages for severity seem to be from 10-12 years. Remember, TS is not "psychogenic" or caused by emotional problems or the way a child was raised.
This is contrary to the info I was given by our Ped Neuro?
This post is not meant to ENCOURAGE "non-acceptance" but instead, to take a balanced look at this condition.
Thanks
PS
Also keep in mind that these studies are only completed with data from "diagnosed" TS, meaning it's likely that the number/percentages of people who actually DO "outgrow" the symptoms is probably far greater? I also read today that as many as 4 in 100 people meet the diagnostic criteria for tourettes? That's about 1 per average US class room.
Anyhow, just food for thought.