You can obtain binary packages of KDE Frameworks 5 and Qt 5.2 in many distributions. This page aims to list the available binary packages.
On Kubuntu, Project Neon is available as PPAs which offers regularly updated development snapshots of KDE Frameworks. Packages will be installed to /opt/project-neon5 and will not contaminate your normal environment.
sudo apt-add-repository ppa:neon/kf5-snapshot-weekly sudo apt-get update sudo apt-get install project-neon5-session project-neon5-utils \ project-neon5-konsole
You can replace kf5-snapshot-weekly with kf5-snapshot-daily if you would more bleeding edge packages.
Qt 5.2 is available in Ubuntu Trusty's repositories, as well as in the qt5-daily ppa.
On openSUSE, there are repositories with snapshots of KDE Frameworks 5 and Qt 5.2.