How To Delete Estimates From My Recent View on the Homepage

In Team Estimator, this is done by clicking the ellipsis and selecting Remove from Recent

Note: If you have an estimate that was created from a close version, then you can delete that estimate (child) and it doesn't affect any other estimate. However, you cannot delete the Parent Estimate (original) Close version.

If you click Delete, it will delete the estimate from view and will require IT to restore the estimate. See article - Restore deleted estimate