Obscure way kid’s snubbing Oscar and Hazel, say, over time (8)

'over time' is the definition.
The definition suggests a singular noun which matches the answer.

'obscure way kid's snubbing oscar and hazel' is the wordplay.
I cannot quite see how this works, but
'way' could be 'street' (street is a kind of way) and 'street' is found in the answer.
The remaining letters 'by' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'say' is the link.

Can you help me to learn more?