Breaks fast seeing tenant is oddly missing (4)

I believe the answer is:

eats

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'breaks fast' is the definition.
'eats' can be an answer for 'breaks' (eating is a kind of breaking). I am not sure about the 'fast' bit.

'tenant is oddly missing' is the wordplay.
'oddly missing' indicates alternate letters.
'tenant'+'is'='tenantis'
The alternate letters of 'tenantis' are 'EATS'.

'seeing' is the link.

Can you help me to learn more?

(Other definitions for eats that I've seen before include "Is not any faster" , "Commonly, they eliminate" , "Food (colloq.)" , "Takes meals" , "Food (informal)" .)

I've seen this clue in The Telegraph.

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