I'm less optimistic about the possibility of more large scale digs though, as the Golden Jubilee bridge history³ points out the area is an also an exciting zone for stumbling in to unexploded ordnance and you always seem to be within few metres of a tube line or Victorian sewer.
[It is the reason I love those plucky Crossrail⁴ developers who've felt the anger from the havoc they've left across London over the few past decades. We get incredible large scale engineering works to lust over, coupled with really wacky archaeological digs tagging along for the ride.]
¹ https://en.wikipedia.org/wiki/Embanking_of_the_tidal_Thames
² https://en.wikipedia.org/wiki/Thames_Embankment - Both the "home" of the type in Hammersmith and Fleet were the targets of embankment work in the 19th century
³ https://en.wikipedia.org/wiki/Hungerford_Bridge_and_Golden_J...