This addresses issues for those running WPMU
Although it looks as though this 'Fix' should be safe for both WP & WPMU further testing will be ongoing and this fix may well change in the released core plugin files.
In cubepoints-buddypress-integration open file includes/bp-cubepoint-core.php
locate function 'bp_cubepoint_setup_globals and locate line:
$bp->cubepoint->table_name = $wpdb->base_prefix . 'cubepoints';
change that line to (copy & paste over?):
$bp->cubepoint->table_name = $wpdb->prefix . 'cubepoints';