To delete or save a Snap you posted to Spotlight...
- Go to your Profile and scroll down to 'Spotlight & Snap Map'
- Press and hold on a Snap and tap 'Delete Snap' to delete it, or tap 'Save Snap' to save it
Keep in mind that Snaps submitted to Spotlight are Public Content, and your Snap may still appear off Snapchat if it has been shared off of Snapchat.