CPS’s Office of Access & Enrollment (CPSOAE) is usually pretty responsive, so either call 773-553-2060 or email firstname.lastname@example.org if you want to inquire about your child’s test date.
In the past, CPS has tested into March, so it is not surprising that they haven’t contacted you yet. It sounds like you used the paper application to apply for your child? Those who applied online could schedule their own test dates but paper applications must wait for CPS to send a test date. Also, typically they test kindergarteners starting in November, and sometimes middle schoolers don’t get tested until later in the process, so your child’s age/grade will also impact test scheduling.