The Art and science of Low Carbohydrate Living by Jeff Volek and Stephen Phinney is the best book ever! In the book they explain that part of the early adaptation process results in a sharp rise in uric acid due to competition between new circulating ketones and uric acid for renal tubular excretion. It is not because the body is making more but because the body temporarily clears less. Within 4-6 weeks the uric acid levels fall back to below the pre-diet levels. Benign for most people unless, of course you are predisposed to gout where it can then trigger an attack.
They go on to say that most people who suffer from gout can tell early on if an attack is imminent so preventative medication or prompt intervention can usually pre-empt an attack. They also say that once someone predisposed to gout stabilizes on the diet they strongly recommend that the patient avoid cycling in and out of Ketosis.
If you do require the the medication, it is suggested that you remain on it for 3 to 6 months and then wean yourself off once you are properly keto-adapted. Most gout sufferers go episode free once properly keto-adapted.