Actually, I was talking about Gateway logger options, see docs https://tyk.io/docs/log-data/
It also depends on what kind of logging you want.
If you talking about internal Gateway logs, one of this loggers should fit your needs, if not you can always try a fork.
Regarding Pump, if you need to log user requests, it indeed can be extended with various pumps, to send data to whatever data source you want. For example in addition to default Mongo it can send data to ElasticSearch or similar.