Nowhere in the N.T. do any of the Greek words translated "fellowship" imply fun times. Rather, they talk of:
The fellowship of the ministering to the saints (II Corinthians 8:4).
Sacrificial service and financial aid (See for example, I Timothy 6:18).
The fellowship in the gospel (Philippians 1:5),
The defense and confirmation of the gospel, we all are partakers (same word as fellowship) of grace...