I think you are after the table_lock_timout variable which was introduced in MySQL 5.0.10 but subsequently removed in 5.5. Unfortunately, the release notes don't specify an alternative to use, and I'm guessing that the general attitude is to switch over to using InnoDB transactions as @Rick James has stated in his answer.
I think that removing the variable was unhelpful. Others may regard this as a case of the XY Problem, where we are trying to fix a symptom (deadlocks) by changing the timeout period of locking tables when really we should resolve the root cause by switching over to transactions instead. I think there may still be cases where table locks are more suitable to the application than using transactions and are perhaps a lot easier to comprehend, even if they are worse performing.
The nice thing about using LOCK TABLES
, is that you can state the tables that you're queries are dependent upon before proceeding. With transactions, the locks are grabbed at the last possible moment and if they can't be fetched and time-out, you then need to check for this failure and roll back before trying everything all over again. It's simpler to have a 1 second timeout (minimum) on the lock tables query and keep retrying to get the lock(s) until you succeed and then proceeding with your queries before unlocking the tables. This logic is at no risk of deadlocks.
I believe the developer's attitude is summed up by the following excerpt from the documetation:
...avoid using the LOCK TABLES statement, because it does not offer
any extra protection, but instead reduces concurrency.