I love Finney, but I balance Finney with other writers and preachers.
I have been reading through Chuck's compiled lectures from the Oberlin Evangelist, 'The Promise of The Spirit.' at a rate of about 3 lectures a month for over half a year. This has been a source of great struggle and conviction, much in the same way that something like Why Revival Tarries or John Owen's The Mortification of Sin are.
I once said that Finney sets the bar higher, and the person I was speaking with correctly pointed out that the bar was always set that high -Jesus is the standard. What I think Finney is good for is showing us how low we see the standard of God as being, when we read Finney's writings we sometimes come away ashamed, or feel that he is too radical... well the Gospel demands radical obedience!
Finney has some doctrines that I disagree with, such as his strong teachings on 'christian perfection.' I want to be perfect, and I daily cry out to God for more mercy and more grace, according to Paul Washer this is one of the signs that I'm saved -according to Finney (or even John Owen) I'm a heathen who hasn't actually accepted Jesus as my savior.
Finney is great for challenging a person to live a more holy life. One of the things I like about reading Finney are those moments where the bar seems to get higher... and you've got to sit and repent that you hadn't seen that certain thing as sin before. Of course all of the theology and ethic is in the bible, but Finney is great for laying down the Praxis! Of course, the praxis is different for every person, but I'm amazed at Charles Finney's desire to live a holy life.
If there's anything to take away from Finney is the desire to be holy, to serve others and to share the Good News of Jesus Christ.