First, let's distinguish between the OT concept of prophecy and the NT. In the OT prophets who were verified by the Hebrew community as being a spokesman for God, through the performance of miracles and the ability to predict the future (Deuteronomy 13:1-3; 18:15-22; 31:9), made writings which were placed in the temple and which became Scripture, setting out God's plan for redemption in history. Romans 3:2 indicates this kind of prophet must be Jewish: (a NT apostle is the equivalent of a prophet, but with a mission going beyond the Jewish community). In the NT, I Corinthians 14:5 notes that tongues with interpretation is the equivalent of prophecy, but 14:3 notes that these gifts of the Spirit are for personal edification, exhortation, and comfort – that is, they are not at the level of Scripture, but they provide personal guidance. The gifts of the Spirit in Corinthians are received by all Christians, not just those with a Jewish birthright.
Some people hold that Hebrews 1:1 indicates that the canon of Scripture is closed, in which case there would no longer be a necessity for a prophet under the conditions as established by the OT. Some Christians hold that the gift of tongues have ceased, and there are no more prophecies for personal guidance according to the Corinthian verses on prophecy. However, if there is in the future a Jew who professes Christ, and who can predict the future and perform miracles, and who has a message from God to add to redemption history, while being consistent with everything already in Scripture, then it would have to be held that the canon is not closed, and that OT style prophecy has returned. Some believe the anti-Christ will try to imitate being such a prophet to create a new religion. Some people hold that the two witnesses of the book of Revelation, chp. 11, are Elijah and Moses returning, and these men are prophets, and if they speak in the future, it will be as God's spokesmen. For now, it appears that since the book of Revelation, God has not had anything to add to the message of Scripture, that he feels is necessary for us to know. Still, for people who do not believe tongues have ceased, there are the gifts of tongues and interpretation for personal guidance, but these messages are to be tested, I Thessalonians 5:19-21.
Wigglesworth never upheld himself as a prophet in the OT sense, but he did uphold the gifts of tongues and interpretation for personal guidance as having not ceased.
PS -- of course, after I typed this post and turned off my computer, it came to me that not just tongues with interpretation is prophecy in the NT sense, but also direct prophecy, I Corinthians 12:10. I have gotten prophecies in the NT personal guidance sense, without tongues and interpretation. But I always type these forum posts fast, in between doing other things.... and I end up skipping things.