When Sarason initiated the study of truncated Toeplitz operators in 2007 he posed the question, does every bounded truncated Toeplitz operator have a bounded symbol? This was then shown to be negative in 2010 when a bounded truncated Toeplitz operator was constructed which does not possess a bounded symbol. Further work then gave a characterisation of when a bounded truncated Toeplitz operator has a bounded symbol. In this talk I will consider analogous questions looking at the role of continuous symbols for compact truncated Toeplitz operators.