Rabada's demerit point problems started 13 months ago when he was fined 50 per cent of his match fee and handed three demerit points for coming into avoidable contact with Dickwella during a one-day global in Cape Town.
A fired-up Rabada, who already has five demerit points because of a string of indiscretions including last year's send-off of Ben Stokes that led to a Test suspension, screamed in Smith's face as he brushed past him in celebration.
Rabada also may have further stoked the lingering animosity between the teams after appearing to intentionally bump into Steve Smith in his follow-through after dismissing the Australia captain.
Australian cricket chief James Sutherland on Friday demanded his players show more respect for their opponents in the wake of incidents that overshadowed the first Test against South Africa in Durban.
Both players were punished on Wednesday for the bust-up during the opening Test in Durban, with Warner fined 75 per cent of his match fee and De Kock 25 per cent.
Australia's tour of South Africa will comprise of four Test matches, but no limited-overs games.
"If someone's treading close to the line as a teammate, you might have to pull them aside and say, "you're going a bit close there, ease up and pull back", Finch said.
South Africa made strong efforts to restrict Australia below 250 who were cruising at 98/0 in the first session on a seam-friendly track.
It was a result that maintained Australia's long-standing Test dominance on South African soil but was overshadowed by spats both on and off the field that have left the participation of Australian vice-captain David Warner in doubt.
David Warner and Quinton de Kock's staircase stoush at Kingsmead has strained relations between the rivals this week. "Let's hope that's not the case and we'll have a four-pronged attack come Cape Town", Philander said.
Smith and Shaun Marsh put on 44 before Rabada's day-changing spell, when Australia tumbled from 161-3 to 182-8.
The charges were levelled by on-field umpires Kumar Dharmasena and Sundaram Ravi, third umpire Chris Gaffaney and fourth umpire Allahudiean Palekar. Only Peter Pollock (four 5-fers) took more than two Test 5-wicket hauls for South Africa before turning 23.