To copy a skillset, click the edit-button in the upper right corner and select Copy.
Skillsets can be copied to a different team. If you want to copy a skillset to a different organization, your user needs access to both the organization currently holding the skillset, and the destination organization.
When skillsets are copied, it's the skillset and underlying skills that are copied. Associated content like roles expected to master the skill or content related to a particular skill is not copied.