I have come across some verbs that seem partially deponent, such as θνήσκω (fut. θανέομαι, aor. ἔθανον) and κιχάνω (fut. κιχήσομαι, aor. ἐκιχησάμην). So the first is regular in the present and aorist and deponent in the future, while the other is regular in the present and deponent in the future and aorist.
What does it tell about the other tenses? I would have guessed that it should remain consistent within the primary/secondary tenses groups, but non of the two seems to follow that. Pharr §897 doesn't give any details about such cases.