Advanced Comparison Operators (http://www.opengis.net/spec/cql2/1.0/conf/advanced-comparison-operators) defines the LIKE operator.
LIKE - regexp
IN and BETWEEN are already supported, so adding support for LIKE will allow advertising the http://www.opengis.net/spec/cql2/1.0/conf/advanced-comparison-operators conformance class
Support for regex isn OpenSearch can be used for this.
This SO answer has good info on translating a LIKE operand into a regex.