Hello covinvile,
Thank you for using Apple Support Communities.
We understand that you are seeing links overlaid on images from Safari on your iPhone. We have a series of steps that we would like you to take for these issues and testing after each step. First, if you haven't already, let's start with a forced quit of the Safari app: Close an app on your iPhone or iPod touch - Apple Support
Next, a restart of the iPhone: Restart your iPhone - Apple Support
Finally, make sure that your iPhone is up to date. Updating iOS will also update the Safari app. Update your iPhone, iPad, or iPod touch - Apple Support
Let us know how it goes and we can go from there.
Best regards.