Well if you want a big damp and mould problem then carry on mateprobably not a tumble dryer because its not required to have one in the property.
If you don't have a tumble dryer, then washing will get dried in the property - mostly on radiators. To see what this means, try weighing you next load of washing - before you put it in the washer, and again when it comes out after the spin cycle. The difference is the water left in the washing - and near enough 1kg = 1litre of water. When (not if, when) that washing is put on radiators or drier racks then all that water ends up in the property.
So fine, don't provide a drier - but expect complaints about damp and mould within a few weeks. I can tell you from first hand experience, some people really have no clue, and when the mould appears it will not be anything to do with them, it'll be your building that's faulty.