Employ the services of the Clay Corroborator
From Fallen London Wiki
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From: The Law's Long Arm
You could not possibly be the individual these constables are searching for, and for a mere handful of pennies your clay compatriot will be pleased to let them know precisely why that is.
Unlocked with 
Clay Corroborator, 
100 x Penny
Success
Alibis for days
The Clay man is [...] thorough. He was [...] with you all day yesterday. And [...] the day before. And, it transpires, all week. He produces receipts, corroborating your whereabouts [...]
The law leaves with [...] their notebooks filled with an entirely fabricated social calendar.
