I am using CentOS Linux release 7.3.1611 which has gcc 4.8.5 20150623 installed. I am looking for a way to install a newer version of gcc, specially 8.1. I found the following
devtoolset-8 was only released a short while ago. The linked installation instructions may be of use. However, your question pertains to CentOS, and this does not yet appear to have been made available yet. You can see some evidence of it being build for CentOS here, but it's not been updated for the final release yet.
You could ask on the SCL mailing list for an ETA, or wait until it appears in its final form. In the meantime, you could download the RPMs from koji directly.