At Tines, the on-call process is streamlined using their own product, Tines, to enhance efficiency and reduce stress for the engineering team. On-call duties, which include incident response, bug triaging, and query handling, are mandatory for engineers post-onboarding, with optional participation for managers. The company employs tools like PagerDuty and Slack for managing on-call rotations and communication, while Tines automates tasks such as incident communication, Slack notifications, and self-hosted release deployments. By implementing automation and clearly defining roles and responsibilities, Tines alleviates the potential burdens of on-call work, promoting a more manageable and effective on-call experience.