I carried out very thorough research on this species for a profile on another site. I did not come across any mention of aggressive behaviour. The following is from my notes:
Compatibility/Temperament: Very peaceful. Must be kept in a group of at least 5 but preferably 10-12 minimum; can easily become frightened otherwise. The male is the more colourful and a mix of equal male/female is perhaps best, though less of an issue than with many other characins. In spite of its larger size and being an active swimmer, this is a timid fish and should not be combined with boisterous tankmates. Not suitable with any fish likely to nip fins.
Floating plants are necessary to both reduce the lighting and to calm the fish. Filter current should be minimal.
There should be an open space along the length of the tank as this fish is a very active swimmer, remaining in the upper half of the aquarium.
Congo Tetra are easily frightened, and this can occur from sudden noises. They are sensitive to toxic compounds and cannot tolerate deteriorating water quality.
I have kept this species twice, once in a group of 5 in a 55g (4-foot) tank, and the second time more recently as a group of ten in a 4-foot 90g tank. I have never seen even a remote indication that the fish would nip fins. This is almost certainly the work of other fish in the tank. Or possibly, if you actually saw a Congo Tetra attack another male physically, it was due to stress from either water parameters, water conditions, or other non-compatible fish. The males in my group would often swim "relays" in a pair, sidling up to one another in typical characin fashion, but never any physical aggression.