1 across: Battleship names distorted (9)
In what is becoming a disturbing trend, DA has been using bits of whole words as instructions (this often happens with words like backdown or, as we will see in the next nastiness example, with desktop, but what DA is starting to do is getting crazy). In this one, battle is the anagram signifier, so that battleship names = misshapen = distorted. If this continues, and starts being a part of more difficult clues, we can pretty much forget about getting anything out.
13 down: It is crazy, perhaps, for desktop to be clean (9)
This is something I’ve never seen before in a cryptic, and I wilt at the thought of its structure being followed in future. Here, crazy = insane, so that it is is put in the word sane, giving it is crazy, perhaps, for desktop = sanitised = to be clean. But what’s mental here is that the synonym for crazy, insane, ends up being an instruction, and that instruction is only partially within the word itself!
Can you imagine how difficult these crosswords will become if DA really starts to let loose with constructions like these?