Having a taste for chanting can mean different things for devotees at different levels of advancement.
It is explained that one of the symptoms of namabhasa - reflection of the Holy name, is that one has strong desire to chant purely some day. One is enthusiastic and hopeful about chanting and about devotional service in general.
We are not necessarily feeling ecstatic while pronouncing the Holy names, but we see how our state of mind is much different after chanting for 2 hours.
There is also some kind of taste at the beginner level.
Is is also good to regularly hear and read about what it means to chant on a higher level, then we can increase our desire to make advancement.