This might be a UK thing but in the 1980's I owned an electronic game that I'd like to try and find again. All I recall, and not necessarily accurately is that it was a 'work out who the criminal/thief was' logic or puzzle game, not an action game. A Police siren sounded at the end of the game when you got the right answer. The game handheld or a little larger was totally self contained, no game board or cards or paperwork. I believe it was LED display (so could have been LCD). Nothing to do with Clue or Cluedo, and not Stop Thief or Electronic Detective (that had cards) but I'll bet it had an obvious name to do with crime solving.
Just hoping I wasn't the only person on the planet playing that game back then and a fellow Gameboomer might be able to assist my memory....thanks