Computer's the way to capture Joe's tricky display (5,4)

'tricky display' is the definition.
(magic tricks)

'computer's the way to capture joe's' is the wordplay.
'computer's' becomes 'mac's' (as in an Apple Mac).
'the way to' becomes 'how' (ie how to do something).
'capture' means one lot of letters goes inside another.
'joe' becomes 'GI' (GI Joe).
'macs'+'how'='macshow'
'macshow' enclosing 'gi' is 'MAGIC SHOW'.