Mob spawners cannot be disabled by torches, functions normally, though there may be less spiders due to the surrounding light level.
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[Mod] Celesian
Thank you for your report!
However, this issue is a Duplicate of MCPE-42427.
That ticket has already been resolved as Fixed. The fix will arrive in the next version or is already included in the latest development version of the game, you can check the Fix Version/s field in that ticket to learn more.
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If you place torches in a 5x5 area around the spawner, it seems to shut down.