Coherency control circuitry (10) supports processing of a safe-speculative-read transaction received from a requesting master device (4). The safe-speculative-read transaction is of a type requesting that target data is returned to a requesting cache (11) of the requesting master device (4) while prohibiting any change in coherency state associated with the target data in other caches (12) in response to the safe-speculative-read transaction. In response, at least when the target data is cached in a second cache associated with a second master device, at least one of the coherency control circuitry (10) and the second cache (12) is configured to return a safe-speculative-read response while maintaining the target data in the same coherency state within the second cache. This helps to mitigate against speculative side-channel attacks.