I am an open but cautious cessationist but I'm not sure if your definition of cessationist jives with mine.
I don't believe there are modern day apostles or prophets. We have the ministry of the apostles and prophets through their writings in Scripture. They are the foundation of the church (Ephesians 2:20).
Regarding tongues, interpretation of tongues, prophecy in the sense of foretelling the future, healings in the sense of being localized to an individual, etcetera, these gifts were associated with the apostles and prophets, and I don't believe they exist today. HOWEVER (a big however), I do believe God heals today based on corporate and individual prayer.
I am open minded to considering that the sign gifts are still for today, but I have reason to doubt some of those who claim such gifts. For instance, someone claims to have went into a morgue and raised a dead person. Morgues have multiple levels of security that I doubt she could have bypassed. In addition, why don't we read about such a body disappearing and being found alive later?
And, it isn't just one person who seems erratic who makes such claims..unfortunately it's the majority of them that I personally know. If I listen to their dialogue very long I find irregularities in behavior or doctrine. There is one exception, though..I have a friend I've known for years who doesn't have such irregularities and says he speaks in tongues so that is why I remain open but cautious.
It seems like most "healings" are also unverifiable, and involve trivial things like claiming one's leg was lengthened by some small amount, or that a headache disappeared, or something along that line. Things which can easily be claimed, and that we cannot verify one way or the other whether the person had the condition before AND after.
And, if I ask the question....has any person with serious cerebral palsy, a missing limb, blindness, or something that is very hard to fake been healed of these chronic illnesses, only the most erratic people will claim to have seen such a thing. If one sound minded person, whom I've had a history with, and can attest that they are solid (like a trusted pastor of my own), would tell me they've seen such a thing, I'd trust their witness. I haven't heard anyone like that say such a thing.
Do I think God can heal all infirmities? Absolutely yes. Do I think he heals on occasion? Absolutely yes. Do I think any individual has this gift? I haven't seen it localized to an individual, and the ones I've heard claim it display erratic behavior or doctrine.
Do I believe there is a gift of tongues? Absolutely yes. Do I believe it is active today? I don't know. Do I think it involves real foreign languages that the person is enabled to speak supernaturally? Yes. Am I open minded to considering other manifestations such as a prayer language? Yes. Do most of those who claim this gift seem erratic to me in other respects? Yes. Therefore, does that give me reason to doubt them? Yes.
Do I admit that I could be wrong on part of my views on this topic? Yes. If individuals who are erratic in terms of behavior or doctrine relate accounts to me concerning raising the dead, multiple healings they've performed, etcetera, are they going to convince me that I might be wrong? No
Are internet chat forum members likely to convince me I'm wrong? No
I also hate it that some continuationists try to claim that cessationists don't believe that God heals today, or that the rest of the spiritual gifts are not in effect. This is patently false. If we don't believe that the miraculous sign gifts are in effect, it does not logically follow that we don't believe God heals, and that we don't believe the other gifts are in effect. This is a slander that I've heard perpetuated by some continuationists.
One lady who used to chat made it plainly known that she was "spiritual" and we were not, if we did not hold that the miraculous sign gifts were in effect today. She claimed that if you haven't received a subsequent "baptism in the Spirit" that you are not spiritual. I am not into the two tier view of Christianity thing.