Skweyiya attended primary school in Cape Town, but later attended boarding school at the Healdtown Institution in the Eastern Cape where he matriculated in 1959. Justice Skweyiya earned a BSocSci degree from the University of Natal in 1963 and an LLB degree from the same university in 1967.
Skweyiya retired from the bench of the Constitutional Court of South Africa on 6 May 2014 at the age of 73.
- "Justice Thembile Skweyiya". Constitutional Court of South Africa. Archived from the original on 2010-12-18. Retrieved 2008-11-09.
- Office of the Chief Justice (1 September 2015). "Media statement on the passing of former Constitutional Court judge: Justice Thembile Skweyiya" (PDF).