No, saving a photo on iMessage does not tell someone that you saved it. However, if you send a photo to someone else through iMessage, it will show as sent in the conversation. If you’d like to save a photo that someone sends to you, here are the steps:
1. Open the message with the photo in the iMessage app.
2. Tap the photo to open it.
3. Tap the “i” icon in the top right corner.
4. Tap the save icon in the bottom left corner.
5. The photo is now saved to your Photos app.
It’s important to remember that if you send someone a photo through iMessage, they may be able to save it for their own use. To protect your photos, you may want to consider using a different messaging platform or using a photo-editing app to add a watermark to the photo before sending it.