Demonology is an academic topic of study. I don't see why an understanding of such things throughout the history of mankind would be a bad thing. Sun Tzu once said "know your enemy". I'd imagine this would equate to the same analogy.
As Christians we must aim to imitate Jesus' example and serve God, his father, with a whole heart, as Jesus did while on earth. So, we must be very careful when it comes to demons, because they serve Satan. Demons use spiritism to mislead people and the practice of spiritism is the involvement with the demons directly or through a human medium. In Galatians 5:19-21, we find spiritism as one of the things that God condemns, and warns us to keep free from everything connected with it. There are other ways that demons mislead people, if you want to know just ask. Now, you may think that by just analyzing or investigating demons and not worshiping them that you will be ok. However, notice what 1 Corinthians 10:21 mentions: "You cannot be drinking the cup of Jehovah and the cup of demons; you cannot be partaking of 'the table of Jehovah' and the table of demons." This text tells us that we cannot serve God and be dealing with demons. Why? Jesus helps us understand in Matthew 6:24, which mentions that we cannot slave for two masters because it will reach a point where we will love one more than the other. In my opinion, I do not think its the best idea.