It is about a week since my silhouette thread lift. There are still dimpling and puckering on left side of face?

I have seen a few cases that took a few weeks for dimples to resolve, but usually puckers or dimples that are present for more than two weeks can be addressed by a small procedure to loosen them. Usually the doctor can get a good sense of what dimples and pleats or folds will resolve in 5-7 days and if it a type that may not resolve, further work can be done at the time of the Silhouette InsaLift to smoothen it further.

Dear Xenia, 
Superficial mild dimples will resolve by themselves within 2-3 weeks, but deeper, bigger dimples are unlikely to resolve and may cause permanent scarring. 
An experienced silhouette threadlift doctor will be able to gauge whether which kind it is. 
To play safe , I always make sure I subcise the dimple to get rid of it (if it happens) on the spot during treatment , rather than to wait for it to resolve. 
You could visit an experienced Silhouette physician to have a quick second opinion (and treatment ) of the dimples if needed.