Ahhh.. so its not just the browser having issues.
Lets try this.
Shut down your mac, then hold down the left shift key and keep holding it while you press power.
This should start the mac in safe mode. Then, try these steps again
Open your finder ( magnifying glass ) type in disk utility, and launch the disk utility application.
On the left side of the disk utility window, click your mac hd, then at the lower right hand side, click repair permissions .
Then, when it says permissions repair complete.. Do this next
Once complete, restart your mac and test.. Can you click links and pages normally now on safari?
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Senior Technician and Network Switching Systems Operator / Maintainer.