To occur after in time

• supervene
• follow
• ensue

To gain success

• rise
• go far
• get on
• get ahead
• arrive

To turn out well

• click
• work out
• work
• pan out
• go over
• go
• come off

To attain success

• put-across
• cut-a-swath
• make-a-killing
• cut-the-mustard
• work
• bear oneself with credit
• gain one's end
• carry off
• carry out
• set-the-world-on-fire
• click
• get places
• cover ground
• break good for
• make-short-work-of
• be on top of the heap
• do all right by oneself
• make-good
• die game
• make-it
• do oneself proud
• arrive at
• top
• crown
• play one's cards well
• overcome all obstacles
• work well
• weather a storm
• beat the game
• come out with flying colors
• arrive
• gain the day
• live high
• hit-the-jackpot
• hit the mark
• hit-it
• come into money
• make-one-s-mark
• satisfy one's ambition
• carry all before one
• make one's fortune
• make-one-s-way
• come through
• put through
• come off
• go off
• pull off
• carry off
• grow famous
• be well-known
• be accepted
• score a point
• outmaneuver
• outwit
• worst
• suppress
• reduce
• avail
• outdistance
• distance
• vanquish
• conquer
• prevail
• surmount
• win-out
• win
• overcome
• possess
• triumph
• master
• receive
• gain
• retrieve
• recover
• benefit
• reap
• wrest
• capture
• be victorious
• flourish
• acquire
• realize
• profit
• thrive
• obtain
• score
• succeed (in)
• secure
• earn
• fulfill
• be successful
• reach
• attain
• prosper
• get
• accomplish
• achieve

To follow in time

• bring up the rear. See syn. study at follow.follow
• follow in order
• be subsequent to
• result
• become heir to
• come next
• displace
• postdate
• replace
• supersede
• supplant
• supervene
• ensue
• take the place of
• come-after
• follow after