Peace be upon you. According to Grand Ayatollah Khamenei (may Allah protect him), chess is currently not considered a gambling tool, so there is no objection to playing it without betting. Source: Answers to Questions, S1116. On the other hand, Grand Ayatollah Sistani (may Allah protect him) states that playing chess is prohibited whether it involves money or not. Source: Official Website. May you be successful in all good.