There not all that many evergreen climbers. They include ivy in various forms, evergreen hydrangea, Cissus striata, Clematis armandii, jasmine and semi-evergreen Solanum jasminoides.
What evergreen flowering climbers would you suggest for a south facing 6ft high wall. Must be hardy
While evergreen climbers have their value, it would be a pity to cover a south-facing sunny wall with evergreens that will not flower as well as deciduous climbers